A spring of force constant k is cut into lengths

A spring of force constant k is cut into lengths of ratio 1:2:3. They are connected in series and the new force constant is k’. Then they are connected in parallel and force constant is k′′. Then the ratio k:k” is 

(a) 1:6

(b) 1:9

(c) 1:11

(d) 1:14

Answer: (c) 1:11

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